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M2 branes suspended between adjacent parallel M5 branes lead to light strings, the `M-strings'. In this paper we compute the elliptic genus of M-strings, twisted by maximally allowed symmetries that preserve 2d (2,0) supersymmetry. In a…

High Energy Physics - Theory · Physics 2015-06-16 Babak Haghighat , Amer Iqbal , Can Kozcaz , Guglielmo Lockhart , Cumrun Vafa

In this note we prove an identity that equates the elliptic genus partition function of a supersymmetric sigma model on the N-fold symmetric product $M^N/S_N$ of a manifold M to the partition function of a second quantized string theory on…

High Energy Physics - Theory · Physics 2009-07-09 R. Dijkgraaf , G. Moore , E. Verlinde , H. Verlinde

We compute the equivariant elliptic genera of several classes of ALE and ALF manifolds using localization in gauged linear sigma models. In the sigma model computation the equivariant action corresponds to chemical potentials for U(1)…

High Energy Physics - Theory · Physics 2015-06-22 Jeffrey A. Harvey , Sungjay Lee , Sameer Murthy

We explore 6d (1,0) superconformal field theories with SU(3) and SU(2) gauge symmetries which cascade after Higgsing to the E-string theory on a single M5 near an $E_8$ wall. Specifically, we study the 2d $\mathcal{N}=(0,4)$ gauge theories…

High Energy Physics - Theory · Physics 2015-10-13 Joonho Kim , Seok Kim , Kimyeong Lee

We study the elliptic genera of 6d strings based on their modular properties. They are weak Jacobi forms of weight 0, whose indices are determined from the 2d chiral anomalies. We propose the ansatz for the elliptic genera which reflects…

High Energy Physics - Theory · Physics 2018-10-23 Joonho Kim , Kimyeong Lee , Jaemo Park

We discuss three classes of solitonic solutions in string theory: instantons, monopoles and string-like solitons. Instantons may provide a nonperturbative understanding of the vacuum structure of string theory, while monopoles may appear in…

High Energy Physics - Theory · Physics 2007-05-23 Ramzi R. Khuri

In recent work, several classes of solitonic solutions of string theory with higher-membrane structure have been obtained. These solutions can be classified according to the symmetry possessed by the solitons in the subspace of the…

High Energy Physics - Theory · Physics 2009-10-22 Ramzi R. Khuri

According to one of Maldacena's dualities, type IIB string theory on AdS_3 X S^3 X K3 is equivalent to a certain N=(4,4) superconformal field theory. In this note we compute the elliptic genus of the boundary theory in the supergravity…

High Energy Physics - Theory · Physics 2010-02-03 Jan de Boer

We study elliptic genera of ADE-type M-strings in 6d (2,0) SCFTs from their modularity and explore the relation to topological string partition functions. We find a novel kinematical constraint that elliptic genera should follow, which…

High Energy Physics - Theory · Physics 2021-02-24 Zhihao Duan , June Nahmgoong

Superstring compactification on a manifold of Spin(7) holonomy gives rise to a 2d worldsheet conformal field theory with an extended supersymmetry algebra. The $\mathcal{N}=1$ superconformal algebra is extended by additional generators of…

High Energy Physics - Theory · Physics 2015-05-04 Nathan Benjamin , Sarah M. Harrison , Shamit Kachru , Natalie M. Paquette , Daniel Whalen

We compute the elliptic genera of two-dimensional N=(2,2) and N=(0,2) gauged linear sigma models via supersymmetric localization, for rank-one gauge groups. The elliptic genus is expressed as a sum over residues of a meromorphic function…

High Energy Physics - Theory · Physics 2014-03-18 Francesco Benini , Richard Eager , Kentaro Hori , Yuji Tachikawa

Leptoquarks extending the Standard Model (SM) are attracting an increasing attention in the recent literature. Hence, the identification of 4D SM-like models and the classification of allowed leptoquarks from strings is an important step in…

High Energy Physics - Theory · Physics 2021-09-08 Ricardo Perez-Martinez , Saul Ramos-Sanchez , Patrick K. S. Vaudrevange

The SL(2,Z) duality symmetry of IIB superstring is naturally realized on the D=11 supermembrane restricted to have central charges arising from a nontrivial wrapping. This supermembrane is minimally immersed on the target space (MIM2). The…

High Energy Physics - Theory · Physics 2008-02-06 M. P. Garcia del Moral , I. Martin , A. Restuccia

We extend the system of ungauged N=2, d=4 supergravity coupled to vector multiplets and hypermultiplets with 2-form potentials. The maximal number of 2-form potentials that one may introduce is equal to the number of isometries of either…

High Energy Physics - Theory · Physics 2010-02-03 Eric A. Bergshoeff , Jelle Hartong , Mechthild Hübscher , Tomás Ortín

According to a recent classification of 6d (1,0) theories within F-theory there are only six "pure" 6d gauge theories which have a UV superconformal fixed point. The corresponding gauge groups are $SU(3),SO(8),F_4,E_6,E_7$, and $E_8$. These…

High Energy Physics - Theory · Physics 2017-10-25 Michele Del Zotto , Guglielmo Lockhart

Conformal field theories with (0,4) worldsheet supersymmetry and K3 target can be used to compactify the E8xE8 heterotic string to six dimensions in a supersymmetric manner. The data specifying such a model includes an appropriate…

High Energy Physics - Theory · Physics 2015-06-17 Sarah Harrison , Shamit Kachru , Natalie M. Paquette

In this paper, we discuss elliptic genera of (2,2) and (0,2) supersymmetric Landau-Ginzburg models over nontrivial spaces, i.e., nonlinear sigma models on nontrivial noncompact manifolds with superpotential, generalizing old computations in…

High Energy Physics - Theory · Physics 2016-10-04 M. Ando , E. Sharpe

We construct and study the first supersymmetric black-hole and black-string solutions of non-Abelian-gauged N=1,d=5 supergravity (N=1,d=5 Super-Einstein-Yang-Mills theory) with non-trivial SU(2) gauge fields: BPST instantons for black holes…

High Energy Physics - Theory · Physics 2016-04-20 Patrick Meessen , Tomas Ortin , Pedro Fernandez-Ramirez

We study maximally symmetric cosmological solutions of type II supersymmetric strings in the presence of the exact, SL(2,Z)-invariant, higher-curvature corrections to the lowest order effective action. We find that, unlike the case of type…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. C. Bento

We compute the exact string vacuum backgrounds corresponding to the non-compact coset theory $SU(2,1)/SU(2)$. The conformal field theory defined by the level $k= 4$ results in a five dimensional singular solution that factorizes in an…

High Energy Physics - Theory · Physics 2009-10-30 Adrian R. Lugo
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